具有非Morsean点的二次可逆系统(r6)的极限环分支  

Bifurcation of Limit Cycles from the Center of Quadratic Reversible System(r6) with non-Morsean Point

作　　者：隋世友 徐伟骄 Shi You SUI;Wei Jiao XU(School of Science,Tianjin University of Commerce,Tianjin 300134,P.R.China)

机构地区：[1]天津商业大学理学院,天津300134

出　　处：《数学学报（中文版）》2021年第6期999-1004,共6页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金资助项目(11801414)。

摘　　要：本文考虑了具有非Morsean点的二次可逆系统(r6)在二次多项式扰动下可分支出的极限环的个数.证明了可分支出极限环个数的上确界是2,验证了 [Iliev I.D.,Perturbations of quadratic centers,Bull.Sci. Math.,1998, 122:107-161]的猜测.We consider the number of limit cycles bifurcating from the center of quadratic reversible system(r6)with non-Morsean point under quadratic perturbations.It is proved that the sharper bound is 2,which verifies the conjecture given by[Iliev I.D.,Perturbations of quadratic centers,Bull.Sci.Math.,1998,122:107-161].

关 键 词：极限环 ABEL积分 广义完备Chebyshev系统 

分 类 号：O193[理学—数学]